New Isothermic surfaces

New Isothermic surfaces

In this paper, we consider a method of constructing isothermic surfaces based on Ribaucour transformations. By applying the theory to the cylinder, we obtain a three-parameter family of complete isothermic surfaces that contains n-bubble surfaces inside and outside of the cylinder. In addition, we a...

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Hauptverfasser: Corro, Armando M. V, Ferro, Marcelo Lopes
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Mathematics - Differential Geometry
Mathematics - Geometric Topology
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description In this paper, we consider a method of constructing isothermic surfaces based on Ribaucour transformations. By applying the theory to the cylinder, we obtain a three-parameter family of complete isothermic surfaces that contains n-bubble surfaces inside and outside of the cylinder. In addition, we also obtain one-parameter family of complete isothermic surface with planar ends. Such family of isothermic surfaces do not have constant mean curvature. As aplication we obtain explicit solutions of the Calapso equation.
doi_str_mv 10.48550/arxiv.2011.07941
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subjects Mathematics - Differential Geometry
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title New Isothermic surfaces
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